41 citations · 71 across the 23 of their papers we have counts for
25 papers
Smooth modules over the N=1 Bondi-Metzner-Sachs superalgebra
Dong Liu, Yufeng Pei, Limeng Xia +1
In this paper, we present a determinant formula for the contravariant form on Verma modules over the N=1 Bondi-Metzner-Sachs (BMS) superalgebra. This formula establishes a necessar…
Simple smooth modules over the superconformal current algebra
Dong Liu, Yufeng Pei, Limeng Xia +1
In this paper, we classify simple smooth modules over the superconformal current algebra . More precisely, we first classify simple smooth modules over the Heisenberg-Clif…
-free modules over the Lie algebras of differential operators
Munayim Dilxat, Shoulan Gao, Dong Liu +1
In this paper, we consider some non-weight modules over the Lie algebra of Weyl type. First, we determine the modules whose restriction to are free of rank over th…
Simple weight modules for Yangian
Yikun Zhou, Yilan Tan, Limeng Xia
Let be a finite-dimensional simple Lie algebra over . A -module is said to be weight if it is a weight -mod…
Simple modules over quantum torus and quantum group
L. Xia, N. Hu
In this paper, we classify all simple modules over the quantum torus and the quantum group for generic case.
On non-weight representations of the superconformal algebras
Hengyun Yang, Yufeng Yao, Limeng Xia
In this paper, we construct a family of non-weight modules over the untwisted superconformal algebras. Those modules when regarded as modules over the Cartan subalgebra (modu…